Cyclic quasi-symmetric designs and self-orthogonal codes of length 63

Authors

Chekad Sarami, Fayetteville State University
Vladimir D. Tonchev, Michigan Technological University

Document Type

Article

Publication Date

1-1-2008

Abstract

The enumeration of binary cyclic self-orthogonal codes of length 63 is used to prove that any cyclic quasi-symmetric 2 - (63, 15, 35) design with block intersection numbers x = 3 and y = 7 is isomorphic to the geometric design having as blocks the three-dimensional subspaces in PG (5, 2). © 2007 Elsevier B.V. All rights reserved.

Recommended Citation

Sarami, Chekad and Tonchev, Vladimir D., "Cyclic quasi-symmetric designs and self-orthogonal codes of length 63" (2008). College of Health, Science, and Technology. 261.
https://digitalcommons.uncfsu.edu/college_health_science_technology/261